On an inverse problem in electromagnetism with local data: stability and uniqueness

TL;DR

This paper establishes the stability and uniqueness of determining electromagnetic coefficients from local boundary data in Maxwell's equations, advancing inverse problem theory with specific domain restrictions.

Contribution

It provides a stable reconstruction method for Maxwell coefficients using local boundary data, extending previous inverse problem results with new stability insights.

Findings

Proves stability of coefficient determination in Maxwell's equations

Establishes uniqueness under domain restrictions

Uses Isakov's method for inverse boundary value problems

Abstract

In this paper we prove a stable determination of the coefficients of the time-harmonic Maxwell equations from local boundary data. The argument --due to Isakov-- requires some restrictions on the domain.